Grammatical Complexity and One-dimensional Dynamical Systems

Released on by Huimin Xie
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  • Grammatical Complexity and One-dimensional Dynamical Systems Book Detail

  • Author : Huimin Xie
  • Release Date : 1996
  • Publisher : World Scientific
  • Genre : Science
  • Pages : 290
  • ISBN 13 : 9810223986
  • File Size : 23,23 MB
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Grammatical Complexity and One-dimensional Dynamical Systems by Huimin Xie PDF Summary

Book Description: A combinatorial method is developed in this book to explore the mysteries of chaos, which has became a topic of science since 1975. Using tools from theoretical computer science, formal languages and automata, the complexity of symbolic behaviors of dynamical systems is classified and analysed thoroughly. This book is mainly devoted to explanation of this method and apply it to one-dimensional dynamical systems, including the circle and interval maps, which are typical in exhibiting complex behavior through simple iterated calculations. The knowledge for reading it is self-contained in the book.

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